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Author:

Wang, J. (Wang, J..) | Liu, S. (Liu, S..) | Wang, H. (Wang, H..) | Zeng, Y. (Zeng, Y..)

Indexed by:

EI Scopus SCIE

Abstract:

We have studied the role of external current stimuli in a four-dimensional Hodgkin-Huxley-type model of cold receptor in this paper. Firstly, we researched its firing patterns from direct current (DC) and alternating current (AC) stimuli. Under different values of DC stimulus intensity, interspike intervals (ISIs) with period-doubling bifurcation phenomena appeared. Second, research has shown that neurons are extremely sensitive to changes in the frequency and amplitude of the current used to stimulate them. As the stimulus frequency increased, discharge rhythms emerged ranging from burst firing to chaotic firing and spiking firing. Meanwhile, various phase-locking patterns have been studied in this paper, such as p :1 (p > 1), 1 : q (q > 1), 2 : q (q > 1) and p : q (p, q > 1), etc. Finally, based on the fast-slow dynamics analysis, codimension-two bifurcation analysis of the fast subsystem was performed in the parameter (a(sr), B)-plane. We mainly investigated cusp bifurcation, fold-Hopf bifurcation, Bogdanov-Takens bifurcation and generalized Hopf bifurcation. These results revealed the effect of external current stimuli on the neuronal discharge rhythm and were instructive for further understanding the dynamical properties and mechanisms of the Huber-Braun model.

Keyword:

phase-locking firing rate fast-slow dynamics analysis interspike intervals (ISIs) Huber-Braun model firing patterns

Author Community:

  • [ 1 ] [Wang, J.]S China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China
  • [ 2 ] [Liu, S.]S China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China
  • [ 3 ] [Wang, H.]S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
  • [ 4 ] [Zeng, Y.]Beijing Univ Technol, Ctr Biomed Engn, Beijing 100022, Peoples R China

Reprint Author's Address:

  • [Liu, S.]S China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China

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Source :

NEURAL NETWORK WORLD

ISSN: 1210-0552

Year: 2015

Issue: 6

Volume: 25

Page: 641-655

0 . 8 0 0

JCR@2022

ESI Discipline: COMPUTER SCIENCE;

ESI HC Threshold:168

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 8

SCOPUS Cited Count: 8

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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